Greatest Common Factor of 53/19, 35/48, 599/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/19, 35/48, 599/538

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 53/19,35/48,599/538

Given fractions are 53/19,35/48,599/538

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 53,35,599

Greatest Common Factor of Numerators i.e. GCF of 53,35,599 is 1 .

LCM of Denominators means LCM of 19,48,538 as per the given fractions.

LCM of 19,48,538 is 245328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,35,599

GCF of Fractions 53/19,35/48,599/538 is 1/245328

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 53,35,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,35,599 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 53,35,599 . The biggest common factor number is the GCF number.
So the greatest common factor 53,35,599 is 1.

Lets's calculate LCM of 19,48,538

2 19, 48, 538
19, 24, 269

∴ So the LCM of the given numbers is 2 x 19 x 24 x 269 = 245328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/245328

Therefore, the GCF of Fractions 53/19,35/48,599/538 is 1/245328

Least Common Multiple of 19,48,538 with GCF Formula

Least Common Multiple of 19,48,538 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 19,48,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,48,538) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(19,48,538) x common factors =1 x 2 = 2

LCM(19,48,538) = ( 19 × 48 × 538 ) / 2

LCM(19,48,538) = 490656 / 2

LCM(19,48,538) = 245328


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 53/19, 35/48, 599/538

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 53/19, 35/48, 599/538?

Answer: GCF of Numerators as per given numbers 53/19, 35/48, 599/538 is

GCF of Numerators i.e. for 53,35,599 is 1

LCM of denominators i.e. for 19,48,538 is 245328.

Thus, GCF of Fractions is 1/245328.Finally, GCF of Fractions for 53/19, 35/48, 599/538 is 1/245328.